Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT331 - MATHEMATICS

Code: MAT331

Course Title: PARTIAL DIFFERENTIAL EQUATIONS I

Theoretical+Practice: 2+2

ECTS: 3

Year/Semester of Study

3 / Fall Semester

Level of Course

1st Cycle Degree Programme

Type of Course

Compulsory

Department

MATHEMATICS

Pre-requisities and Co-requisites

DIFFERENTIAL EQUATIONS II, DIFFERENTIAL EQUATIONS I,

Mode of Delivery

Face to Face

Teaching Period

14 Weeks

Name of Lecturer

MEHMET ŞENOL (msenol@nevsehir.edu.tr)

Name of Lecturer(s)

Language of Instruction

Turkish

Work Placement(s)

None

Objectives of the Course

Giving basic information about partial differential equations that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems

Learning Outcomes		PO	MME
The students who succeeded in this course:
LO-1		PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge. PO-4 Analytically use the interdisciplinary approach at learning process. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.	Examination
LO-2	Explain the formation of Partial Differential Equations and classify these equations	PO-
PO: Programme Outcomes MME:Method of measurement & Evaluation

Course Contents
Basic concepts, General classification of partial differential equations, Obtaining of partial differential equations, Tangent planes, Convergent surfaces, Intersecting surfaces, perpendicular and tangential surfaces, First order linear equations, First order semi-linear equations, Lagrange method, First order nonlinear equations, Compatible systems, Lagrange-Charpit method, Special types of first order nonlinear equations, Nonlinear equations which can be converted to standart form
Weekly Course Content
Week	Subject	Learning Activities and Teaching Methods
1	Basic concepts
2	General classification of partial differential equations
3	Obtaining of partial differential equations
4	Tangent planes
5	Convergent surfaces, Intersecting surfaces, perpendicular and tangential surfaces
6	First order linear equations
7	First order semi-linear equations
8	mid-term exam
9	Lagrange method
10	Obtaining Integral surface with given curve
11	First order nonlinear equations
12	Compatible systems
13	Lagrange-Charpit method
14	Special types of first order nonlinear equations
15	Nonlinear equations which can be converted to standart form
16	final exam
Recommend Course Book / Supplementary Book/Reading
1	M. Çağlayan, O. Çelebi, Kısmi diferensiyel denklemler, Nadir Kitap, 2012.
2	Evans, L.C.,2010. Partial Differential Equations (Graduate Studies In Mathematics). American Mathematical Society
Required Course instruments and materials

Assessment Methods
Type of Assessment	Week	Hours	Weight(%)
mid-term exam	8	2	40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam	16	2	60

Student Work Load
Type of Work	Weekly Hours	Number of Weeks	Work Load
Weekly Course Hours (Theoretical+Practice)	4	14	56
Outside Class
a) Reading	1	14	14
b) Search in internet/Library			0
c) Performance Project			0
d) Prepare a workshop/Presentation/Report			0
e) Term paper/Project			0
Oral Examination			0
Quiz			0
Laboratory exam			0
Own study for mid-term exam	2	4	8
mid-term exam	2	1	2
Own study for final exam	2	4	8
final exam	2	1	2
			0
			0
Total work load;			90